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It is not the case that Peirce's 'final interpretant' thus smuggles in a metaphysical endpoint that his own relational semiotics structurally cannot accommodate.
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Reasons For
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1.
The final interpretant is a limiting concept (habit, disposition), not an actual endpoint—it describes process-stabilization, not metaphysics.
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2.
Infinite regress and asymptotic convergence are compatible; Peirce describes direction toward stability without requiring metaphysical closure.
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3.
Relational semiotics can accommodate telic structure if 'final' means functionally ultimate within a context, not absolutely transcendent.
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Reasons Against
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Reason against
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1.
Peirce's semiotics defines meaning through infinite chains of interpretants, making any 'final' interpretant logically contradictory.
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2.
The final interpretant appears to function as unmoved mover—a transcendent ground that violates Peirce's own anti-foundationalism.
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3.
Peirce invokes the final interpretant to stabilize meaning, but relational systems require perpetual deferral to maintain coherence.
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